16461900607464 has 192 divisors, whose sum is σ = 49215696129600. Its totient is φ = 4938823507968.

The previous prime is 16461900607463. The next prime is 16461900607511. The reversal of 16461900607464 is 46470600916461.

16461900607464 is a `hidden beast` number, since 1 + 64 + 61 + 9 + 0 + 0 + 60 + 7 + 464 = 666.

It is a super-2 number, since 2×16461900607464² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16461900607464.

It is not an unprimeable number, because it can be changed into a prime (16461900607463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22868667 + ... + 23577525.

It is an arithmetic number, because the mean of its divisors is an integer number (256331750675).

Almost surely, 2^{16461900607464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16461900607464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24607848064800).

16461900607464 is an abundant number, since it is smaller than the sum of its proper divisors (32753795522136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16461900607464 is a wasteful number, since it uses less digits than its factorization.

16461900607464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709504 (or 709497 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 16461900607464 in words is "sixteen trillion, four hundred sixty-one billion, nine hundred million, six hundred seven thousand, four hundred sixty-four".